L p(x)(Ω)-estimates of vector fields and some applications to magnetostatics problems

B. Cekic, A. V. Kalinin, R. A. Mashiyev, M. Avci

Research output: Contribution to journalJournal Articlepeer-review

21 Citations (Scopus)

Abstract

In the present paper, we investigate Hölder-type norm inequalities in terms of div and curl of the vector-valued functions in variable exponent Lebesgue spaces L p(x)(Ω), where Ω⊂R{double-struck} 3. Moreover, by using the obtained results we give some applications for magnetostatics problems.

Original languageEnglish
Pages (from-to)838-851
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume389
Issue number2
DOIs
Publication statusPublished - 15 May 2012

Keywords

  • Div-curl estimates
  • Hölder-type inequalities
  • Magnetostatics problems
  • Variable exponent Lebesgue spaces

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